Search a number
-
+
5831280 = 2432571389
BaseRepresentation
bin10110001111101001110000
3101222021000100
4112033221300
52443100110
6324552400
7100364550
oct26175160
911867010
105831280
113323144
121b52700
131292280
14abb160
157a2bc0
hex58fa70

5831280 has 240 divisors, whose sum is σ = 24373440. Its totient is φ = 1216512.

The previous prime is 5831269. The next prime is 5831281. The reversal of 5831280 is 821385.

It is a happy number.

5831280 is a `hidden beast` number, since 583 + 1 + 2 + 80 = 666.

5831280 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5831281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65476 + ... + 65564.

It is an arithmetic number, because the mean of its divisors is an integer number (101556).

Almost surely, 25831280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5831280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12186720).

5831280 is an abundant number, since it is smaller than the sum of its proper divisors (18542160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5831280 is a wasteful number, since it uses less digits than its factorization.

5831280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5831280 is about 2414.8043399000. The cubic root of 5831280 is about 179.9925922877.

The spelling of 5831280 in words is "five million, eight hundred thirty-one thousand, two hundred eighty".